List questions from cauchy-integral-formula

Published on 09 Oct 2021 - 11:04

100

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What is the Contour $C$ in Cauchy's Integral Theorem?

Published on 27 Mar 2026 - 15:10

482

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How to solve this ODE: $y^{(y(x))}(x)=f(x)$?

Published on 25 Mar 2026 - 9:26

125

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Solving $\int_{0}^{2\pi}\frac{d\phi}{2+\sin(\phi)}$ with complex exponentials

Published on 21 Oct 2021 - 17:28

68

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How could I calculate the integration $I=\oint_{|z|=2} \frac{e^{z}}{z^{2}|z-1|^{2}} d z $?

Published on 22 Oct 2021 - 14:56

111

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$\int_0^{2\pi}\cos^n\theta\,d\theta$ by integration in the complex plane

Published on 25 Oct 2021 - 2:21

33

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Cauchy's Theorem with branch cut and two singularities

Published on 26 Oct 2021 - 20:55

105

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Analytic Continuation of a function defined in integral

Published on 23 Feb 2026 - 17:21

1.1k

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Evaluate the contour integral $\int_γ\frac{(z^2+1)}{z(2z-1)^2} dz $

Published on 04 Nov 2021 - 20:02

87

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Show that $\left | \int _{\gamma}\frac{\sin z}{z^{5}} dz\right |\leq 2\pi e$.

Published on 10 Nov 2021 - 1:10

67

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An complex integral over circle

Published on 23 Nov 2021 - 9:34

59

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Solve $\int _{|z-1|=1} \frac{\log{z}}{z^{4}} dz $

Published on 02 Dec 2021 - 2:51

781

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Complex integration: $ \int_{c} \frac{e^{z}}{z(z-3)} dz$

Published on 05 Dec 2021 - 17:40

591

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Mean Value Property of Harmonic Functions from Cauchy's Integral Formula

Published on 28 Dec 2021 - 16:11

196

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Find the complex integral of $f(z) = \frac{z^3e^{1/z}}{1+z^3}$ on the circle contour $|z|=3$

Published on 29 Dec 2021 - 8:20

List Question

Solve the Integral $ \int_{Cr} \frac{100z^{100}+99z^{99}}{z^{100}+z^{99}+1}dz $ with Cauthy thm

What is the Contour $C$ in Cauchy's Integral Theorem?

How to solve this ODE: $y^{(y(x))}(x)=f(x)$?

Solving $\int_{0}^{2\pi}\frac{d\phi}{2+\sin(\phi)}$ with complex exponentials

How could I calculate the integration $I=\oint_{|z|=2} \frac{e^{z}}{z^{2}|z-1|^{2}} d z $?

$\int_0^{2\pi}\cos^n\theta\,d\theta$ by integration in the complex plane

Cauchy's Theorem with branch cut and two singularities

Analytic Continuation of a function defined in integral

Evaluate the contour integral $\int_γ\frac{(z^2+1)}{z(2z-1)^2} dz $

Show that $\left | \int _{\gamma}\frac{\sin z}{z^{5}} dz\right |\leq 2\pi e$.

An complex integral over circle

Solve $\int _{|z-1|=1} \frac{\log{z}}{z^{4}} dz $

Complex integration: $ \int_{c} \frac{e^{z}}{z(z-3)} dz$

Mean Value Property of Harmonic Functions from Cauchy's Integral Formula

Find the complex integral of $f(z) = \frac{z^3e^{1/z}}{1+z^3}$ on the circle contour $|z|=3$

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